Inverse Functions Pre Calculus 1 6 Inverse Functions

Is this function one-to-one? No Inverse Functions

• Two functions are inverse functions, when the combination of those functions, in

• The functions f and g are inverses of each other if and

Find the inverse of the function Inverse Functions

One-to-one function Not one-to-one Not a function One-to-one function Chairs are assigned to people

• Inverse Functions • pg. 69 – 70 • 11 a, 21 -24,

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Inverse Functions Pre. Calculus 1 -6

Inverse Functions

Is this function one-to-one? No Inverse Functions

• Two functions are inverse functions, when the combination of those functions, in any order results, in the identity function. • If the function is given as a set of ordered pairs, its inverse would have all the xcoordinates interchanged with their corresponding y-coordinates. Inverse Functions

Inverse Functions

• The functions f and g are inverses of each other if and only if – f(g(x)) = x for every x in the domain of g, and – g(f(x)) = x for every x in the domain of f. – In this case we write g as f-1 Inverse Functions

Inverse Functions

Find the inverse of the function Inverse Functions

Inverse Functions

Exploration

One-to-one function Not one-to-one Not a function One-to-one function Chairs are assigned to people # of molecules assigned to student Spleens are assigned to people Not a function, could have more than one pencil One-to-one function Not one-to-one function One-to-one function? ? ? SSN are assigned to people Days are assigned to people Not a function Not one-to-one? ? Exploration Not a function One-to-one function Same as function

• Inverse Functions • pg. 69 – 70 • 11 a, 21 -24, 31, 32, 45, 47, 48, 50, 63, 67 Homework